Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle PQR = ?
Answer:
[tex]PQR = 140[/tex]
Step-by-step explanation:
Given
[tex]XYZ = 2X[/tex]
[tex]PQR = 8X - 20[/tex]
Required
Find PQR
Since both angles are supplementary, we have:
[tex]XYZ + PQR = 180[/tex]
This gives:
[tex]2X + 8X - 20 = 180[/tex]
[tex]10X - 20 = 180[/tex]
Collect Like Terms
[tex]10X = 20 + 180[/tex]
[tex]10X = 200[/tex]
Divide through by 10
[tex]X = 20[/tex]
Substitute 20 for X in [tex]PQR = 8X - 20[/tex]
[tex]PQR = 8 * 20 -20[/tex]
[tex]PQR = 140[/tex]
Line p passes through (8,-6) and is perpendicular to the line 2x+y=-7.
The slope of line p is?
A- -2
B- -1/2
C- 1/2
D- 2
(How do I solve to find slope)
Answer:
C) 1/2
Step-by-step explanation:
The slope of a perpendicular line is the negative inverse.
First, convert the given line to slope-intercept form.
2x + y = -7
y = -2x − 7
The slope of this line is -2. So the slope of the perpendicular line is:
m = -1 / (-2)
m = 1/2
Simplify (9-1)^5/(6+2)^3
Help
Answer:
64
Step-by-step explanation:
(9-1)^5 / (6+2)^3
8^5 / 8^3
32768 / 512
64
Jaiden's pen pal from Mexico said that he lives 3.3 kilometers from school. Jaiden knows
that 1 kilometer is approximately 0.62 miles. Which is the closest distance (in miles) that
Jaiden's pen pal lives from school?
Answer:
2 miles
Step-by-step explanation:
3.3 kilometers to miles is 2.0505. I'm not sure if this question want you to round, but if it does, the answer would be 2 miles.
To get your approximate answer, multiply 3.3 (kilometers) by 0.62 (miles).
You get 2.046 if you multiply it by 0.62 like the question says to do.
Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are
sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?
Answer:
100 of the 20$ tickets, and 60 of the 35$ tickets
Step-by-step explanation:
20*x + 35*y = 4100
x + y = 160
That means x = 160 - y, put this into the first equation
20(160 - y) + 35y = 4100
3200 - 20y + 35y = 4100
15y + 3200 = 4100
15y = 900
y = 60
Put y = 60 into the second equation and
x + 60 = 160
x = 100
y = 60, x = 100
Double check that this works for both equations to make sure its right
20 * 100 + 35 * 60= 4100
2000 + 2100 = 4100 /Correct
100 + 60 = 160 /Correct
Convert 10pi/9 to degree measure.
Answer:
The answer is
200°Step-by-step explanation:
To convert an angle from degrees to radians multiply the value by [tex] \frac{180}{\pi} [/tex]
From the question the value to be converted is [tex] \frac{10\pi}{9} [/tex]
Converting it into degrees we have
[tex] \frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9} [/tex]
We have the final answer as
200°Hope this helps you
Simplify 12¹⁶/12⁴ .
[tex]12^{12}[/tex]
subtract 4 from 16.
The sum of four consecutive integers is 106. What is the largest number?
Answer:
28
Step-by-step explanation:
25+26+27+28=106
1/6 times 3/4 express youre answer in the simplist form
Answer:
1/8
Step-by-step explanation:
1/6×3/43/241/8if f(x)=x^2, and
g(x)=x-1,then
f(g(x))= ___x^2+___x+____
Answer:
(1)x²+(1)+ (-2)
Step-by-step explanation:
f(g(x)= f(x-1) = (x-1)²
=x²+1-2
Answer:
Step-by-step explanation:
f(g(x))
g(x) = x - 1
f(x - 1)= (x - 1)^2 = x^2 - 2x + 1
Given: 2x/4 = 5x+8/2 Prove: X =-2
Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?
Answer:
12 dollars each
Step-by-step explanation:
do the math
Answer:
$1.7
Step-by-step explanation:
3 x 9 = 27
45 ÷ 27 =
about $1.7
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find? problem solving would really help thank youu!!!!
What is the product of -4(-15)? *
Answer: 60
Step-by-step explanation: -4x-15=60
Answer:
60
Step-by-step explanation:
negative times negative is equals to positive
4 gallons=___pints?
Helppp
Answer:
32
Step-by-step explanation:
multiply the volume by 8
Which statement best describes how Charlemagne expanded his territory in Europe? He led the Catholic Church as the Holy Roman emperor. He became king of the Franks and then conquered other lands. He created schools in the kingdom and then became emperor of Saxony. He created new laws that allowed him to become king of the Lombards and Saxons.
Answer:
He became king of the Franks and then conquered other lands.
Step-by-step explanation:
Charlemagne became king of the Franks after the death of his father, Pepin the Short.
He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.
Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.
He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.
Answer:
b
Step-by-step explanation:
What is the positive square root of 81?
Answer:
the positive square root of 81 is 9
Step-by-step explanation:
9 times itself equals 81
What does 70.2 rounded to the nearest ten?
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
Complete the inequality statement. 4 1/4___ 17/4
Answer:
they are =
im sorry it was a little late
help
help
help
help
help
help
Answer:
its E
Step-by-step explanation:
The bill from your plumber was $134. The cost for labor was $32 per hour. The cost for materials
was $46. How many hours did the plumber work.
Answer:
2.75 hours, or 2 hours and 45 minutes
Step-by-step explanation:
Subtract the cost of materials from the bill, 134-46=88.
Then, for every hour, he charges 32, so divide the difference by 32, 88/32.
What kind of statistics uses a sample to make predictions about a population?
Answer:
In mathematics, we call this making predictions using random sampling. We basically take data from a random sample of a population and make predictions about the whole population based on that data.
Step-by-step explanation:
PLZ HELP, GIVING BRAINLIEST!! A swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)^2 - 16 What is the lowest depth the swimmer reaches? How long does it take the swimmer to reach the lowest depth? a. 9 feet, 16 seconds b. 16 feet, 3 seconds c. 3 feet, 16 seconds d. 16 feet, 9 seconds
The time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)² - 16.
The time will be calculated as below;-
d = ( t - 3 )² - 16.
16 = ( t - 3 )² - 16
32 = ( t - 3 )²
√32 = t - 3
5.67 = t - 3
t = 5.67 + 3 = 8.67 ≅ 9 seconds
Therefore, the time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
To know more about an expression follow
https://brainly.com/question/723406
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A gumball machine contains 100 gumballs of 5 different colors: 36 red, 15 blue, 24 orange, 12 green, and the rest are white. The machine dispenser randomly selects one gumball. What is the probability that the gumball dispensed is white?
Answer:
13
Brainliest?
Step-by-step explanation:
The probability that the gumball dispensed white would be 87%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
It can be express the probability in either fraction form or in percentage. The numerator would be number of all possibilities, while the denominator is the number of all events.
Here the numerator is the number of white gumballs, while the denominator is the number of all gumballs available.
To solve for the number of white gumballs, subtract all the other balls to the total.
Number of white balls = 100 - 36 red - 15 blue - 24 orange - 12 green
Number of white balls = 13
Thus,
Probability of white ball = 87/100= 87%
Learn more about probability here;
https://brainly.com/question/9326835
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Kathy's square garden has an area of 105 square feet. How long will one side of a fence around the garden be?
(Between which two consecutive numbers)
If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?
Two lines in a plane intersect at a point
A. Two lines in a plane intersect
B. Two lines intersect at a point
C. A point exists
D. Points are in a plane
The statement "Two lines intersect at a point" is a correct option (B) that would be the best choice.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
It is given that:
If the statement is rewritten as a conditional statement in if-then form.
As we know,
From the definition of the hypothesis.
The null and alternative hypotheses are two generalizations about a population that are strictly contradictory
The hypothesis is best described as two lines intersecting at a point if the original sentence is restated as a conditional statement in the if-then format.
Thus, the statement "Two lines intersect at a point" is the correct option (B) that would be the best choice.
Learn more about the null hypothesis and alternative hypothesis here:
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Answer:
B
Step-by-step explanation:
mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?
Answer:
Sauce requires milk, cheese, red potatoes
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
which answer is it ????
Answer: it is option 2 person
Step-by-step explanation:
r-18=27 Solve this equation
Step-by-step explanation:
r - 18 = 27
r = 27 + 18
r = 45
...
Answer:
r=45
Step-by-step explanation:
r-18 =27
r=27 +18
r=45
45 - 18 =27
If a car is going 150 miles per hour then how many meters per second is it traveling at?
around 67.046 meters. hope it helps :)